What is the Least Common Multiple of 33945 and 33956?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 33945 and 33956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33945 and 33956, than apply into the LCM equation.

GCF(33945,33956) = 1
LCM(33945,33956) = ( 33945 × 33956) / 1
LCM(33945,33956) = 1152636420 / 1
LCM(33945,33956) = 1152636420

Least Common Multiple (LCM) of 33945 and 33956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33945 and 33956. First we will calculate the prime factors of 33945 and 33956.

Prime Factorization of 33945

Prime Factorization of 33956

Now multiplying the highest exponent prime factors to calculate the LCM of 33945 and 33956.

LCM(33945,33956) = 3¹ × 5¹ × 31¹ × 73¹ × 2² × 13¹ × 653¹
LCM(33945,33956) = 1152636420